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Finding the Third Proportional to 120,743,802 and 188,290,152

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Solution

The third proportional to 120,743,802 and 188,290,152 is: 293,623,198.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,743,802 : 188,290,152 = 188,290,152 : x
  2. Step 2: Convert to fraction form
    120,743,802/188,290,152 = 188,290,152/x
  3. Step 3: Cross multiply
    120,743,802x = 188,290,152 × 188,290,152
  4. Step 4: Simplify right side
    120,743,802x = 35,453,181,340,183,104
  5. Step 5: Solve for x
    x = 35,453,181,340,183,104/120,743,802
  6. Step 6: Final answer
    x = 293,623,198.48

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.